The Fibre of the Prym Map in Genus Three.
The Fundamental Group-Scheme of an Abelian Variety.
The generalized Hodge conjecture for stably nondegenerate abelian varieties
The global structure of moduli spaces of polarized -divisible groups.
The Kodaira dimension of certain moduli spaces of abelian surfaces
The Kodaira dimension of the moduli space of Prym varieties
We study the enumerative geometry of the moduli space of Prym varieties of dimension . Our main result is that the compactication of is of general type as soon as and is different from 15. We achieve this by computing the class of two types of cycles on : one defined in terms of Koszul cohomology of Prym curves, the other defined in terms of Raynaud theta divisors associated to certain vector bundles on curves. We formulate a Prym–Green conjecture on syzygies of Prym-canonical curves....
The moduli space of curves of genus two covering elliptic curves.
The moduli spaces of polarized abelian varieties.
The principal degenerations of abelian surfaces and their polarisations.
The Torelli map at the boundary of the Schottky space.
Toroidal Degeneration of Abelian Varieties. II.
Transformée de Fourier et stabilité sur les surfaces abéliennes